2542066416 has 100 divisors (see below), whose sum is σ = 7440483600. Its totient is φ = 837796608.

The previous prime is 2542066403. The next prime is 2542066441. The reversal of 2542066416 is 6146602452.

2542066416 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 0 + 6 + 641 + 6 = 666.

2542066416 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 104325 + ... + 126363.

It is an arithmetic number, because the mean of its divisors is an integer number (74404836).

Almost surely, 2^2542066416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542066416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720241800).

2542066416 is an abundant number, since it is smaller than the sum of its proper divisors (4898417184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2542066416 is a wasteful number, since it uses less digits than its factorization.

2542066416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22148 (or 22133 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2542066416 is about 50418.9093099008. The cubic root of 2542066416 is about 1364.7788942676.

Adding to 2542066416 its reverse (6146602452), we get a palindrome (8688668868).

The spelling of 2542066416 in words is "two billion, five hundred forty-two million, sixty-six thousand, four hundred sixteen".